Mathematics solves murder mystery !

Here is a puzzle for a young, mathematical Sherlock Holmes !

Question:

Suppose a mathematics professor was murdered while lying on his bed. The coroner gathered the following information:

At midnight, the professor’s body temperature was 94.6 degrees Fahrenheit. At 1 am, the body temperature was 93.4 degrees Fahrenheit. The room temperature was found to be 70 degrees Fahrenheit during this period. Assume a
reasonable body temperature for the professor before death, and use
Newton’s law of cooling to estimate when the professor expired.